On the normalization of fuzzy belief structures. (English) Zbl 0935.03036

Yager, Ronald R.

Int. J. Approx. Reasoning 14, No. 2-3, 127-153 (1996).

Summary: The issue of normalization in the fuzzy Dempster-Shafer theory of evidence is investigated. We suggest a normalization procedure called smooth normalization. It is shown that this procedure is a generalization of the usual Dempster normalization procedure. We also show that the usual process of normalizing an individual subnormal fuzzy subset by proportionally increasing the membership grades until the maximum membership grade is one is a special case of this smooth normalization process and in turn closely related to the Dempster normalization process. We look at an alternative generalization process in the fuzzy Dempster-Shafer environment based on adding to the membership grade of subnormal focal elements the amount by which the fuzzy subset is subnormal.

MSC:

03B52	Fuzzy logic; logic of vagueness
03B42	Logics of knowledge and belief (including belief change)
68T30	Knowledge representation

Keywords:

fuzzy sets; subnormal; Dempster’s rule; normalization; fuzzy Dempster-Shafer theory of evidence

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